Solve -|-4|:|-11/3|.=

$$- | - 4 | : | - 1 \frac { 1 } { 3 } | . =$$

Evaluate

$$-3$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -4 is 4.

$$\frac{-4}{|-\frac{1\times 3+1}{3}|}$$

Multiply 1 and 3 to get 3.

$$\frac{-4}{|-\frac{3+1}{3}|}$$

Add 3 and 1 to get 4.

$$\frac{-4}{|-\frac{4}{3}|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{4}{3} is \frac{4}{3}.

$$\frac{-4}{\frac{4}{3}}$$

Divide -4 by \frac{4}{3} by multiplying -4 by the reciprocal of \frac{4}{3}.

$$-4\times \frac{3}{4}$$

Multiply -4 times \frac{3}{4}.

$$-3$$

Factor

$$-3$$